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Addend in Math: Definition &amp

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addend


Also found in: Thesaurus , Medical , Legal , Encyclopedia , Wikipedia .

Related to addend: augend , subtrahend

ad·dend

 (ăd′ĕnd′, ə-dĕnd′)

n.

Any of a set of numbers to be added.

[Short for addendum .]

addend

(ˈædɛnd; əˈdɛnd)

n

(Mathematics) any of a set of numbers that is to be added. Compare sum 11
[C20: short for addendum]

ad•dend

(ˈæd ɛnd, əˈdɛnd)

n.

any of a group of numbers or terms added together to form a sum.
[1905–10; shortening of addendum ]

ad·dend

(ăd′ĕnd′)

A number that is added to another number.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Switch to new thesaurus
Noun1.addend - a number that is added to another number (the augend) – a number that is added to another number (the augend)”>addend – a number that is added to another number (the augend)

number – a concept of quantity involving zero and units; “every number has a unique position in the sequence”
Translations
sčítanec
Summand
addendo aggiunto
addend
слагаемое

addend

n (US) → Summand m

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Write what you mean clearly and correctly.
Mentioned in
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  • augend
  • number
  • term

References in periodicals archive
?

Here, the students used the different representations and the connection to the doubles fact (4 + 4) to note the relation between the addends and the sum–when one addend is increased while the other is decreased by the same amount, the sum remains the same.

This perspective (even among health workers) may in the long run contribute to the bypassing of lower levels of health care and the resultant increased turnout of self-referrals in tertiary healthcare facilities; and addend overstretching and overwhelming of their services and facilities.

The theme of this excellent collection of essays becomes immediately apparent with the cover art, where the two words “text” and “field” stand around the plus in an uneasy relationship: While “text” has a certain pride of place in coming first, it is “field” in all caps that demands attention and dominates the frame, nearly threatening to overwhelm its purported addend.

This method is used in multi-bit parallel adders where the carry into an individual element of the adder shall be predicted by a smaller delay that is required to produce the carry by rippling through previous adder stages as the result of adding the less significant addend and augends bits.

1] is an ad hoc addend in (2) and (3), which was added by Schroeder [5] empirically to obtain more appropriate values for the initial phases [[PHI].

For example, using a school-based instructional program, Cihak and Grim (2008) initially taught participating students (n = 4) a skill-purchasing strategy involving “counting on,” or adding sums beginning from the larger or smaller addend (e.

X 100) + DE; because the first addend is divisible by 4, it suffices to check if the second addend is also divisible by 4.

This is why Misaki’s Axiom R defines the factor m as an exponent, not an addend or subtrahend.

The first addend represents the ‘within effect’ and the second addend the ‘reallocation effect’.

In the particular case where v is such that the second addend vanishes, one obtains a well known result, the second Fick equation subjected to the continuity boundary condition required by [delta]f = 0 i.

In the case i [greater than or equal to] 2, one can separate the last addend of the sum [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], leading to

Predicting the compressive strength of steel fibre addend lightweight concrete using neural network, Computational Materials Science 42(2): 259-265.

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Definition of ‘addend’

Word Frequency







addend in British

(ˈædɛnd
, əˈdɛnd
)

noun

any of a set of numbers that is to be added

Compare sum1 (sense 1)

Collins English Dictionary. Copyright © HarperCollins Publishers
Word origin of ‘addend’

C20: short for addendum

Word Frequency







addend in American

(ˈædˌɛnd
; adˈendˌ; əˈdɛnd
; ədendˈ)

noun

Ancient Mathematics

a number or quantity to be added to another
Webster’s New World College Dictionary, 4th Edition. Copyright © 2010 by
Houghton Mifflin Harcourt. All rights reserved.
Word origin of ‘addend’

< addendum

Trends of ‘addend’

Used Rarely. addend is in the lower 50% of commonly used words in the Collins dictionary






View usage for:

Nearby words of ‘addend’

  • added value
  • addedly
  • addeem
  • addend
  • addenda
  • addendum
  • adder

  • All ENGLISH words that begin with ‘A’

Source

Definition of addend from the
Collins English Dictionary

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Video: Addend in Math: Definition & Overview



In mathematics, an addend is any number that is added together in an addition problem. This lesson will define the term addend in greater detail as well as explore some examples.


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Addend in Math: Definition & Overview

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 Lesson 7


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  • 0:00 What Is an Addend?

  • 0:29 Examples of Addends

  • 1:17 Properties of Addition

  • 3:28 Lesson Summary


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Lesson Transcript

Instructor:
Jennifer Beddoe

In mathematics, an addend is any number that is added together in an addition problem. This lesson will define the term addend in greater detail as well as explore some examples.

What is an Addend?

Addend is a mathematical term that refers to the numbers being added together in an addition problem.

null

The word ‘addend’ was first used in the early 1900’s and comes from the Latin word ‘addendus’ which means ‘to be added.’

Addends are sometimes referred to as summands, and the first addend in a sequence is also called the augend.

Any term can be an addend, it does not have to be a number. Variables can also be addends.

Examples of Addends

Here are some addition problems that show the different things that can be considered addends.

1.) 102 + 45 = 147

In this example, 102 and 45 are the addends

2.) x + 3x + 7y

Here, the addends are x, 3x and 7y

3.) 5x^2yz^3 + 2xyz + 7xy^2z^2

For this example, even though it looks big and messy, the addends are still just each term being added together. 5x^2yz^3, 2xyz and 7xy^2z^2 are the addends.

Properties of Addition

There are certain rules and properties that need to be followed when solving problems involving addends.

1.) The Commutative Property: This property states that when performing a problem containing only addition, the order of the addends does not matter

5 + 3 = 3 + 5

2.) The Associative Property: This property states that, when adding, any grouping of the addends has no effect on the outcome

(2 + 5) + 1 = 2 + (5 + 1)

3.) The Additive Identity Property: This property states that any number added to 0 does not change

9 + 0 = 9

4.) The Distributive Property: This property lets you multiply a number to a sum by multiplying each addend separately and then adding the products.

4 x (2 + 8) = 4 x 2 + 4 x 8

4 x 10 = 8 + 32

40 = 40

5.) Adding Negative Numbers: If both of the addends are negative, the sum will also be negative.

(-3) + (-2) = -5

If only one addend is positive and the other is negative, you can treat the problem like a subtraction problem.

9 + (-3) = 9 – 3 = 6

4 + (-7) = 4 – 7 = -3

6.) Adding Variables: When adding two terms that contain variables, they can only be added together if the variable portion of the terms are exactly the same. Then, you add the coefficients, leaving the variables the same.

7x + 3x = 10x

3x^2 + 5y + 4x + 2y = 3x^2 + 7y + 4x

In this problem, only the y terms are the same, so only they can be added together. The others must remain as they are.

Lesson Summary

Let’s review. An addend is a number or variable involved in an addition problem. There are specific mathematical rules that govern the addends, including the Commutative Property, the Associative Property, the Additive Identity Property, the Distributive Property and other rules governing adding variables and adding with negative numbers. If you follow these rules, no addition problem will be too big to handle.


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    ACT Math – Logic in Mathematics: Tutoring Solution

Ch 31. ACT Math – Trigonometry: Tutoring…

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    ACT Math – Trigonometry: Tutoring Solution

Ch 32. ACT Science Reasoning – Overview:…

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    ACT Science Reasoning – Overview: Tutoring Solution

Ch 33. ACT Science Reasoning -…

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    ACT Science Reasoning – Fundamentals: Tutoring Solution

Ch 34. ACT Reading – Overview: Tutoring…

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    ACT Reading – Overview: Tutoring Solution

Ch 35. ACT Reading – Question Types:…

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    ACT Reading – Question Types: Tutoring Solution

Ch 36. ACT Reading – Understanding…

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    ACT Reading – Understanding Passages: Tutoring Solution

Ch 37. ACT Reading – Literary Terms:…

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    ACT Reading – Literary Terms: Tutoring Solution

Ch 38. ACT Reading – Practice: Tutoring…

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    ACT Reading – Practice: Tutoring Solution

Ch 39. ACT Writing – Overview: Tutoring…

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    ACT Writing – Overview: Tutoring Solution

Ch 40. ACT Writing – Essay Skills:…

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    ACT Writing – Essay Skills: Tutoring Solution

Ch 41. ACT Writing – Essay Parts:…

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    ACT Writing – Essay Parts: Tutoring Solution

Ch 42. ACT Writing – Planning: Tutoring…

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Ch 43. ACT Writing – Advanced Skills:…

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